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a, 216 = 23.213 = 8.213
Vì 7 < 8 => 7.213 < 8.213 => 7.213 < 216
b, 2115 = 315.715
275.498 = 315.716
Vì 715 < 716 => 315.715 < 315 < 716 => 2115 < 275 < 498
c, 19920 < 20020 = 820.2520 = 260.540
200315 > 200015 = 1615.12515 = 260.545
Vì 540 < 545 => 260 . 540 < 260.545 => 19920 < 200315
d, 339 < 340 = (34)10 = 8110
1121 > 1120 = (112)10 = 12110
Vì 8110 < 12110 => 339 < 1121
a) \(7.2^{13}< 8.2^{13}\Rightarrow7.2^{13}< 2^3.2^{13}\Rightarrow7.2^{13}< 2^{16}.\)
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A = 5.(22.32)9.212-2.(22.3)14.314 / 5.228.318-7.229.318
A = 118078/9
Cách giải là vậy. Mong các bạn góp ý
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\(\frac{5(2^2.3^2)^9.(2^2)^6-2(2^2.3)^{14}.3^4}{5.2^{28}.3^{18}-7.2^{29}.3^{18}}\)
\(=\frac{5.2^{18}.3^{18}.2^{12}-2.2^{28}.3^{14}.3^4}{5.2^{28}.3^{18}-7.2^{29}.3^{18}}\)
\(=\frac{5.2^{30}.3^{18}-2^{29}.3^{18}}{5.2^{28}.3^{18}-7.2^{29}.3^{18}}\)
\(=\frac{2^{29}.3^{18}(5.2-1)}{2^{28}.2^{18}(5-7.2)}\)
\(=\frac{2.9}{-9}\)
\(=-2\)
Chúc bạn học tốt!
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Ta có:
218 = 23.215 = 8.215 > 7.215
=> 218 > 7.215